# Questions tagged [qutrit]

For questions related to quantum trits i.e. three-level (dimensional) quantum mechanical systems. They are higher dimensional analogues of qubits (aka quantum bits), which are two-level (dimensional) quantum mechanical systems.

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### Matrix representation of the qutrit gate analogous to Pauli-$X$ gate

What is the qutrit gate analogous to the $X$ gate for qubits, i.e. NOT gate? and what is the matrix representation of that gate? I have searched on the Internet but couldn't find anything related. ...
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### Finding the eigenvalues of a qutrit state

I am interested in the state: $\frac{1}{\sqrt{2}} (\left|11\right> + \left|22\right>)$ If I find the density matrix of this, I find the $9 \times 9$ matrix $\rho$. If I want to find the reduced ...
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### Cirq seems to output 0 instead of |2> with qutrits

I am experimenting a bit with qutrits on Cirq and came across a problem: my output is 0 when it should be |2>. I defined my qutrit as follows: ...
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### Defining a discrete quantum walk on a 3D hypercube

I am trying to implement at a discrete-time quantum walk on a 3D hypercube using cirq. I have three qubits for the position register: the $|x\rangle$ qubit, $|y\rangle$ qubit and $|z\rangle$ qubit, ...
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### Is there a method to implement qutrit using qubits?

I want to implement 3 level system on a qubit quantum computer. Currently I feel I can use 2 qubits and encode the states of a 3-level system as such |0>=|00>, |1>=|01>, |2>=|10> The ...
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### What proportions of certain sets of PPT-two-retrit states are bound entangled or separable?

For two particular (twelve-and thirteen-dimensional) sets of two-retrit states (corresponding to 9 x 9 density matrices with real off-diagonal entries), I have been able to calculate the Hilbert-...
115 views

### Computing with qutrits

I'm doing some calculations with qutrits and I need a unitary matrix $U$ that does the following: $$U|00\rangle = |12 \rangle - | 21\rangle$$ $$U|11\rangle = |20 \rangle - | 02\rangle$$ U|22\...
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### Why can a point in anti-de Sitter space be modeled as a logical qutrit and how is its error correction done?

This isn't my area but the recent Quanta article How Space and Time Could Be a Quantum Error-Correcting Code struck me as interesting. They mention: In their paper[1] conjecturing that holographic ...
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### Problem about qutrit teleportation protocol

I'm working through Scott Aaronson's Quantum Information Science problem sets, and I'm having trouble with a specific problem in ps5 (PDF). Specifically the following problem: A “qutrit” has the form ...
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### What are useful resources about the geometric of qutrits and its relation with Gell-Mann matrices?

I need some useful sources about the geometry of qutrit. Specifically related to the Gell-Mann matrix representation.
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### Difference between 3 qubits, 2 qutrits & 1 six level qunit

What is the difference between 3 qubits, 2 qutrits and a 6th level qunit? Are they equivalent? Why / why not? Can 6 classical bits be super-densely coded into each?
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Suppose we have a qutrit with the state vector $|\psi\rangle = a_0|0\rangle + a_1|1\rangle + a_2|2\rangle$, and we want to project its state onto the subspace having the basis $\{|0\rangle,|2\rangle\}$...